A new romance may be blooming for Taylor Swift.

The 22-year-old singer was spotted getting chummy with Arnold Schwarzenegger's 18-year-old son Patrick at the Kennedy Compound in Hyannis Port, Massachusetts, on the Fourth of July.

"They are getting to know each other," a source told Us Weekly. "But she thinks he's cute. They are getting to know each other... But she didn't go there just for him."

No, Swift wasn't there just for that. She'd been invited to basically spend the holiday with some of the extended Kennedy family and their friends.

Patrick's mom is Maria Shriver, a Kennedy through birth (she's the daughter of the late politician Sargent Shriver and Eunice Kennedy Shriver).

The pair were reportedly very flirty at the gathering, so maybe there's more to it than meets the eye.